One-sided ideals of the non-commutative Schwartz space

被引：2
|
作者：
Piszczek, Krzysztof [1 ]
机构：
[1] Adam Mickiewicz Univ, Fac Math & Comp Sci, PL-61614 Poznan, Poland
来源：
MONATSHEFTE FUR MATHEMATIK | 2015年 / 178卷 / 04期
关键词：
Frechet space; (Frechet) LMC-algebra; (one-sided) Ideal; Fixed ideal; LOCALLY CONVEX-SPACES; OPERATOR ANALOGS; BANACH-ALGEBRAS;
D O I：
10.1007/s00605-015-0758-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that maximal one-sided ideals of the non-commutative Schwartz space are closed. We also characterize all closed one-sided ideals of this algebra. As a result, all maximal left ideals are fixed.
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页码：599 / 610
页数：12
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